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Real-time calculations in tensor networks are strongly limited in time by entanglement growth, restricting the achievable frequency resolution of Green's functions, spectral functions, self-energies, and other related quantities. By…

强关联电子 · 物理学 2024-08-01 M. Grundner , P. Westhoff , F. B. Kugler , O. Parcollet , U. Schollwöck

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

强关联电子 · 物理学 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

One of the main open problems in the field of transport in strongly interacting nanostructures is the understanding of currents beyond the linear response regime. In this work, we consider the single-impurity Anderson model and use the…

强关联电子 · 物理学 2009-07-02 F. Heidrich-Meisner , A. E. Feiguin , E. Dagotto

Edge-exchangeable probabilistic network models generate edges as an i.i.d.~sequence from a discrete measure, providing a simple means for statistical inference of latent network properties. The measure is often constructed using the…

统计理论 · 数学 2021-09-15 Xinglong Li , Trevor Campbell

We extend the recently developed real-time Diagrammatic Monte Carlo method, in its hybridization expansion formulation, to the full Kadanoff-Baym-Keldysh contour. This allows us to study real-time dynamics in correlated impurity models…

强关联电子 · 物理学 2015-05-14 Marco Schiró

Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here we consider how these two methods can work in tandem. We…

An emergent and promising tensor-network-based impurity solver is to represent the path integral as a matrix product state, where the bath is analytically integrated out using Feynman-Vernon influence functional. Here we present an approach…

强关联电子 · 物理学 2024-04-04 Ruofan Chen , Xiansong Xu , Chu Guo

Tensor network quantum states are powerful tools for strongly correlated systems, tailored to capture local correlations such as in ground states with entanglement area laws. When applying tensor network states to interacting fermionic…

The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of Tree Tensor Network (TTN) states to solve the…

量子物理 · 物理学 2025-05-13 Wladislaw Krinitsin , Niklas Tausendpfund , Markus Heyl , Matteo Rizzi , Markus Schmitt

We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric…

We introduce a tree tensor network (TTN) impurity solver that enables highly efficient and accurate real-time simulations of quantum impurity models. By decomposing a noninteracting bath Hamiltonian into a Cayley tree, the method provides a…

强关联电子 · 物理学 2026-05-26 Bo Zhan , Jia-Lin Chen , Zhen Fan , Tao Xiang

Given observations of a physical system, identifying the underlying non-linear governing equation is a fundamental task, necessary both for gaining understanding and generating deterministic future predictions. Of most practical relevance…

数值分析 · 数学 2020-03-02 A. Goeßmann , M. Götte , I. Roth , R. Sweke , G. Kutyniok , J. Eisert

The interplay of Anderson localisation and decoherence results in intricate dynamics but is notoriously difficult to simulate on classical computers. We develop the framework for a quantum simulation of such an open quantum system making…

量子物理 · 物理学 2020-08-19 Max Hunter-Gordon , Zsolt Szabó , Robert A. Nyman , Florian Mintert

The energy-dependent scattering of fermions from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)\propto |\epsilon|^r$ gives rise to quantum critical points (QCPs) in the pseudogap single-impurity Anderson model separating…

强关联电子 · 物理学 2015-01-08 Christian Kleine , Julian Mußhoff , Frithjof B. Anders

This paper explores the application of tensor networks (TNs) to the simulation of material deformations within the framework of linear elasticity. Material simulations are essential computational tools extensively used in both academic…

In this article we formulate the superperturbation theory for the Anderson impurity model on the real axis. The resulting impurity solver allows to evaluate dynamical quantities without numerical analytical continuation by the maximum…

Tensor networks have historically proven to be of great utility in providing compressed representations of wave functions that can be used for calculation of eigenstates. Recently, it has been shown that a variety of these networks can be…

量子物理 · 物理学 2024-06-25 Amartya Bose

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the…

强关联电子 · 物理学 2009-11-11 Satoshi Nishimoto , Thomas Pruschke , Reinhard M. Noack

We study the non-equilibrium dynamics of a spinful single-orbital quantum dot with an incorporated quantum mechanical spin-1/2 magnetic impurity. Due to the spin degeneracy, double occupancy is allowed, and Coulomb interaction together with…

介观与纳米尺度物理 · 物理学 2012-07-30 Daniel Becker , Stephan Weiss , Michael Thorwart , Daniela Pfannkuche

We study the growth of entanglement entropy in density matrix renormalization group calculations of the real-time quench dynamics of the Anderson impurity model. We find that with appropriate choice of basis, the entropy growth is…

强关联电子 · 物理学 2017-08-16 Zhuoran He , Andrew J. Millis